The Pont du Gard is an aqueduct that crosses the River Gard near Nimes in France. From one point on the river,
the angle of elevation of the top of the aqueduct is 43.6'. From a point 30 m
farther away from the aqueduct, the angle of elevation is 31.2'. Find the
height of the aqueduct, to the nearest metre.

Four airplanes carrying a total of 400 passengersarrive at the detroit airport. the airplanes carry, respectively,50, 80, 110, and 160 passengers. a) one of the 400 passengers is selected uniformly at random. let x denote the number of passengers that were on theairplane carrying the randomly selected passenger. find var(x)for x as given in the problemb) one of the 4 airplane drivers is also selected uniformly atrandom. let y denote the number of passengers on the chosen driver’s airplane. find var(y) for y as given in the problem

The map shows the location of the airport and a warehouse in a city. though not displayed on the map, there is also a factory 112 miles due north of the warehouse. a truck traveled from the warehouse to the airport and then to the factory. what is the total number of miles the truck traveled?

What is the distance between points a and b?